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krek1111 [17]
3 years ago
9

Which polynomial is in standard form? A) 26x^5+12x^7-8x^3+6x

Mathematics
2 answers:
Bess [88]3 years ago
7 0
It's C.  In order to be in standard form you have to have all your exponents in descending order.  They don't all have to be there in order, the ones that are just have to go from highest to lowest.
marshall27 [118]3 years ago
5 0

Answer:

Option C - 11x^5-6x^2-9x+12

Step-by-step explanation:

To find : Which polynomial is in standard form?

Solution :

The standard form of a polynomial is defined as each term in order of degree is written from highest to lowest.

The degree is the power of a variable.

Now, we check the order of each polynomial.

A) 26x^5+12x^7-8x^3+6x

The degree of the polynomial is 5,7,3,1 not from highest to lowest.

So, No the polynomial is not in standard form.

B) 3x^5+x-6x^2+5

The degree of the polynomial is 5,1,2 not from highest to lowest.

So, No the polynomial is not in standard form.

C) 11x^5-6x^2-9x+12

The degree of the polynomial is 5,2,1 is from highest to lowest.

So, Yes the polynomial is in standard form.

D) 5x^2+18x^2-12x^4+4x^7

The degree of the polynomial is 2,2,4,7 not from highest to lowest.

So, No the polynomial is not in standard form.

Therefore, Option C is correct.

The standard form of the polynomial is 11x^5-6x^2-9x+12

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Installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. If the
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Answer:

(a). $1465.42

(b). $214.58

Step-by-step explanation:

We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.

(a) To find the cost of the TV, we will use monthly payment formula.

R=\frac{Pi}{1-(1+i)^{-n}}, where,

R = Periodic payment,

P = Loan amount,

i = Monthly interest rate in decimal form,

n = Number of total payments.

n=3\times 12=36

1.25\%=\frac{1.25}{100}=0.0125

30=\frac{P*0.0125}{1-(1+0.0125)^{-36}}

30=\frac{0.0125P}{1-(1.0125)^{-36}}

30=\frac{0.0125P}{1-0.6394091578134724264}

30=\frac{0.0125P}{0.3605908421865275736}

10.817725265595827208=0.0125P

0.0125P=10.817725265595827208

P=\frac{10.817725265595827208}{0.0125}

P=865.41802124766617664

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We know that total cost of TV would be equal to down payment plus amount of loan that is:

865.42+600=1465.42

Therefore, the total cost of the TV would be $1465.42.

(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).

\$30\times 36=\$1080

To find the total amount of interest paid, we will subtract amount of loan from total payment.

\$1080-\$865.42=\$214.58

Therefore, the total amount paid in interest would be $214.58.

8 0
3 years ago
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